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Finding the Fourth Proportional to 137,112.60, 205,571.70 and 52,840.20

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Solution

The fourth proportional to 137,112.60, 205,571.70 and 52,840.20 is: 79,222.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,112.60 : 205,571.70 = 52,840.20 : x
  2. Step 2: Convert to fraction form
    137,112.60/205,571.70 = 52,840.20/x
  3. Step 3: Cross multiply
    137,112.60x = 205,571.70 × 52,840.20
  4. Step 4: Simplify right side
    137,112.60x = 10,862,449,742.34
  5. Step 5: Solve for x
    x = 10,862,449,742.34/137,112.60
  6. Step 6: Final answer
    x = 79,222.84

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.